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Finding the Third Proportional to 71,161 and 154,850

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Solution

The third proportional to 71,161 and 154,850 is: 336,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161 : 154,850 = 154,850 : x
  2. Step 2: Convert to fraction form
    71,161/154,850 = 154,850/x
  3. Step 3: Cross multiply
    71,161x = 154,850 × 154,850
  4. Step 4: Simplify right side
    71,161x = 23,978,522,500
  5. Step 5: Solve for x
    x = 23,978,522,500/71,161
  6. Step 6: Final answer
    x = 336,961.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.